330032201131000 has 512 divisors, whose sum is σ = 841314988800000. Its totient is φ = 120794623488000.

The previous prime is 330032201130991. The next prime is 330032201131043. The reversal of 330032201131000 is 131102230033.

It is a super-2 number, since 2×330032201131000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13086636391 + ... + 13086661609.

It is an arithmetic number, because the mean of its divisors is an integer number (1643193337500).

Almost surely, 2^{330032201131000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330032201131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420657494400000).

330032201131000 is an abundant number, since it is smaller than the sum of its proper divisors (511282787669000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330032201131000 is a wasteful number, since it uses less digits than its factorization.

330032201131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25528 (or 25514 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 330032201131000 its reverse (131102230033), we get a palindrome (330163303361033).

The spelling of 330032201131000 in words is "three hundred thirty trillion, thirty-two billion, two hundred one million, one hundred thirty-one thousand".